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We obtain the solutions for the tunneling zone of a one-dimensional electrostatic potential in the relativistic (Dirac to Klein-Gordon) wave equation regime when the incoming wave packet exhibits the possibility of being almost totally…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

A method is derived to solve the massless Dirac-Weyl equation describing electron transport in a mono-layer of graphene with a scalar potential barrier U(x,t), homogeneous in the y-direction, of arbitrary x- and time dependence. Resonant…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Sergey E. Savel'ev , Wolfgang Hausler , Peter Hanggi

The quantum entanglement phenomenon was demonstrated to operate on a bipartite entangled system composed of two single layers of graphene embedded in an electrolytic medium (which did not permit the transport of electrons) and subjected to…

General Physics · Physics 2024-10-17 David A. Miranda , Edgar F. Pinzón , Paulo R. Bueno

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Dima Bolmatov , D. V. Zavialov

We study ballistic transport in periodically gated bilayer graphene as a candidate for a 2D electronic metamaterial. Our calculations use the equilibrium Green function formalism and take into account quantum corrections to charge density…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Xianqing Lin , David Tomanek

The electron transmission between monolayer and bilayer graphene is theoretically studied for zigzag and armchair boundaries within an effective-mass scheme. Due to the presence of an evanescent wave in the bilayer graphene, traveling modes…

Mesoscale and Nanoscale Physics · Physics 2010-09-17 Takeshi Nakanishi , Mikito Koshino , Tsuneya Ando

The specifics of charge screening and electrostatic potential spatial distribution in multilayered graphene films placed in between charged substrates is theoretically analyzed. It is shown that by varying the areal charge densities on the…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Natalya A. Zimbovskaya , Eugene J. Mele

We explore the use of applied electrical potentials to induce band flattening in graphene for bands near zero energy. We consider various families of doubly periodic potentials and simulate their effect on the electronic band structure…

Mesoscale and Nanoscale Physics · Physics 2021-11-01 Nicholas Hougland , Ranjani Ramachandran , Jeremy Levy , David Pekker

We study the Goos-Hanchen like shifts for Dirac fermions in graphene scattered by double barrier structures. After obtaining the solution for the energy spectrum, we use the boundary conditions to explicitly determine the Goos-Hanchen like…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Ahmed Jellal , Ilham Redouani , Youness Zahidi , Hocine Bahlouli

We consider resonant tunneling of electromagnetic waves through an optical barrier formed by dielectric layers with the frequency dispersion of their dielectric permiability. The frequency region between lower and upper polariton branches…

Condensed Matter · Physics 2009-10-30 Lev I. Deych , D. Livdan , A. A. Lisyansky

Electron transfer (ET) processes are of broad interest in modern chemistry. With the advancements of experimental techniques, one may modulate the ET via such as the light-matter interactions. In this work, we study the ET under a Floquet…

Chemical Physics · Physics 2022-08-12 Yu Su , Zi-Hao Chen , Haojie Zhu , Yao Wang , Lu Han , Rui-Xue Xu , YiJing Yan

Two-particle scattering probabilities in tunneling scenarios with exchange interaction are analyzed with quasi-particle wave packets. Two initial one-particle wave packets (with opposite central momentums) are spatially localized at each…

Quantum Physics · Physics 2015-06-03 D. Marian , E. Colomés , X. Oriols

Tunneling of fractionally charged quasi-particles (QPs) through a barrier is considered in the context of a multiply connected geometry. In this geometry global constraints do not prohibit such a tunneling process. The tunneling amplitude…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Elad Shopen , Yuval Gefen , Yigal Meir

The mode-dependent transmission of relativistic ballistic massless Dirac fermion through a graphene based double barrier structure is being investigated for various barrier parameters. We compare our results with already published work and…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Ahmed Jellal , El Bouazzaoui Choubabi , Hocine Bahlouli , Abdullah Aljaafari

The relativistic nature of charge carriers in graphene is expected to lead to an angle- dependent transmission through a potential barrier, where Klein tunneling involves annihilation of an electron and a hole at the edges of the barrier.…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Atikur Rahman , Janice Wynn Guikema , N. M. Hassan , Nina Markovic

We study the properties of an electron on a catenoid surface. The catenoid is understood as a realization of a bridge connecting two graphene layer by a smooth surface. The curvature induces a symmetrical reflectionless potential well…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 J. E. G. Silva , J. Saraiva , T. M. Santhiago , Antonio C. A. Ramos , D. R. da Costa

The carrier mobility of a graphene double-layer system is evaluated on the basis of the Boltzmann transport theory. In this system, two graphene layers are separated by a dielectric barrier layer. We focus on the cases in which there is…

Mesoscale and Nanoscale Physics · Physics 2014-12-08 Kazuhiro Hosono , Katsunori Wakabayashi

An explicit expression is obtained for the phase-time corresponding to tunneling of a (non-relativistic) particle through two rectangular barriers, both in the case of resonant and in the case of non-resonant tunneling. It is shown that the…

Quantum Physics · Physics 2009-11-10 Vladislav S. Olkhovsky , Erasmo Recami , A. K. Zaichenko

In this review we focus on electronic transport through semiconductor nanostructures which are driven by ac fields. Along the review we describe the available experimental information on different nanostructures, like resonant tunneling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gloria Platero , Ramon Aguado

Electronic transport through a quantum wire sandwiched between two metallic electrodes and coupled to a quantum ring, threaded by a magnetic flux $\phi$, is studied. An analytic approach for the electron transport through the bridge system…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti